Abstract
This paper aims to study the dynamic behaviours with various design criteria of the Two-degree-of-freedom (2DOF) magnetic spring-based nonlinear oscillator system. The proposed oscillator system contains a nonmagnetic shaft, two floating magnets, and two fixed magnets. All magnets are placed in such a way that they can repel each other. At first, the proposed system's magnetic properties of the proposed system are studied to provide insight into its role in the nonlinear oscillatory behaviour of the system. The magnetic restoring forces are studied, and the linear and nonlinear coefficients of the oscillator system are analysed from the magnetic restoring force. The mathematical model of the proposed system is presented to study the dynamic behaviours such as damping ratio, eigenvalues, and natural frequencies of the oscillator system. The magnetic restoring forces and dynamic behaviours for different oscillator heights are also studied. Finally, the proposed system's energy generation capacity is examined using electromechanical coupling.